{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ***Introduction to Radar Using Python and MATLAB***\n",
    "## Andy Harrison - Copyright (C) 2019 Artech House\n",
    "<br/>\n",
    "\n",
    "# Maximum Detection Range\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The maximum detection range is given by (Equation 4.36)\n",
    "\n",
    "$$\n",
    "r_{max} = \\left[ \\frac{P_t\\,G^2\\,\\lambda^2\\,\\sigma}{(4\\pi)^3\\,k\\,T_0\\,B\\,F\\,L\\,({SNR}_o)_{min}} \\right]^{1/4} \\hspace{0.5in} \\text{(m)}\n",
    "$$\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Begin by getting the library path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import lib_path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import linspace"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set up the signal to noise ratio array (dB)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "signal_to_noise = linspace(5, 25, 2000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the noise figure (dB)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "noise_figure = 3.0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the losses, antenna gain and target RCS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "losses       = 3.0    # dB\n",
    "antenna_gain = 20.0   # dB\n",
    "target_rcs   = -10.0  # dBsm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set up the input args"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "kwargs = {'signal_to_noise': 10.0 ** (signal_to_noise / 10.0),\n",
    "          'system_temperature': 290,\n",
    "          'bandwidth': 100e3,\n",
    "          'noise_factor': 10.0 ** (noise_figure / 10.0),\n",
    "          'losses': 10.0 ** (losses / 10.0),\n",
    "          'peak_power': 50e3,\n",
    "          'antenna_gain': 10.0 ** (antenna_gain / 10.0),\n",
    "          'frequency': 100e6,\n",
    "          'target_rcs': 10.0 ** (target_rcs / 10.0)}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import the `maximum_range` routine to perform the calculation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from Libs.radar_range import radar_range"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "max_range = radar_range.maximum_range(**kwargs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import the `matplotlib` plotting routines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the resulting maximum detection range"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Set the figure size\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = (15, 10)\n",
    "\n",
    "\n",
    "# Display the results\n",
    "\n",
    "plt.plot(signal_to_noise, max_range / 1.e3)\n",
    "\n",
    "\n",
    "# Set the plot title and labels\n",
    "\n",
    "plt.title('Maximum Detection Range', size=14)\n",
    "\n",
    "plt.xlabel('Signal to Noise Ratio Required for Detection (dB)', size=12)\n",
    "\n",
    "plt.ylabel('Maximum Detection Range (km)', size=12)\n",
    "\n",
    "\n",
    "# Set the tick label size and turn on the grid\n",
    "\n",
    "plt.tick_params(labelsize=12)\n",
    "\n",
    "plt.grid(linestyle=':', linewidth=0.5)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
